document.write( "Question 369586: An angle is 10° more than the measure of its complement. Find the number of degrees in each angle. \n" ); document.write( "

Algebra.Com's Answer #263366 by acalgebra(30) $\"\"$ $\"About$

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Let the angle be x and its complement be c, then:
\n" ); document.write( " $\"x=c%2B10\"$ and $\"x%2Bc=90\"$ .
\n" ); document.write( "In the second equation, substitute x for $\"c%2B10\"$ :
\n" ); document.write( " $\"c%2B%28c%2B10%29=90\"$
\n" ); document.write( "Now, solve:
\n" ); document.write( " $\"c%2B%28c%2B10%29=90\"$
\n" ); document.write( " $\"c%2Bc%2B10=90\"$
\n" ); document.write( " $\"2c%2B10=90\"$
\n" ); document.write( " $\"2c=80\"$
\n" ); document.write( " $\"c=40\"$
\n" ); document.write( "
\n" ); document.write( "Now, in the first equation, substitute c for 40:
\n" ); document.write( " $\"x=40%2B10\"$
\n" ); document.write( " $\"x=50\"$
\n" ); document.write( "
\n" ); document.write( "So, the measure of the angle is 50°, and the measure of its complement is 40°. \n" ); document.write( "

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